anonymous 3 years ago Is this answer correct? The point P(18, 24) is on the terminal side of θ. Evaluate sin θ. =4/3

1. anonymous

hmm what does it mean to be on the terminal side of theta?

2. anonymous

Oh I see. Thanks for the diagram. So it is 4/3

3. anonymous

nope i had to switch it cuz i cldnt evaluate 4/3 only 3/4

4. anonymous

smth is wrong hmmmm i must have drawn the pic incorrectly

5. anonymous

well the possible answers are 4/5 4/3 3/5 3/4

6. anonymous

and I evaluated with 24/18 and just simplified the answer to 4/3. Is that wrong?

7. anonymous

ohhh i see my mess up sin is opposite over hypotnuse |dw:1350264991894:dw|

8. anonymous

$$r^2=18^2+24^2$$ $$r^2=900$$ $$r=30$$

9. anonymous

$$sin( \theta) = \large \frac {24}{30}=\frac {4} {5}$$

10. anonymous

by the way r=hypotnuse

11. anonymous

$$Sin( \theta)= \frac{opposite}{hypoynuse}$$

12. anonymous

So the answer is 4/5? Damn, I was way off.

13. anonymous

well we forgot about the hypotnuse lol

14. anonymous

makes sense. :P Thanks for catching that.